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103333002441312 = 2537233659954287
BaseRepresentation
bin10111011111101100010110…
…111001110111001001100000
3111112212112112121102120001010
4113133230112321313021200
5102021001442111110222
61003434305340140520
730523364062352040
oct2737542671671140
9445775477376033
10103333002441312
112aa1a309aa0836
12b70a765537740
13458734cbc7317
141b734b5d35720
15be2dddbc380c
hex5dfb16e77260

103333002441312 has 96 divisors (see below), whose sum is σ = 311329475638272. Its totient is φ = 29397003715584.

The previous prime is 103333002441259. The next prime is 103333002441313. The reversal of 103333002441312 is 213144200333301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 103333002441312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103333002441313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329820568 + ... + 330133719.

It is an arithmetic number, because the mean of its divisors is an integer number (3243015371232).

Almost surely, 2103333002441312 is an apocalyptic number.

103333002441312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103333002441312 is an abundant number, since it is smaller than the sum of its proper divisors (207996473196960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103333002441312 is a wasteful number, since it uses less digits than its factorization.

103333002441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659954540 (or 659954532 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 103333002441312 its reverse (213144200333301), we get a palindrome (316477202774613).

The spelling of 103333002441312 in words is "one hundred three trillion, three hundred thirty-three billion, two million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 233 336 466 672 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 7456 9786 11184 13048 19572 22368 26096 39144 52192 78288 156576 659954287 1319908574 1979862861 2639817148 3959725722 4619680009 5279634296 7919451444 9239360018 10559268592 13859040027 15838902888 18478720036 21118537184 27718080054 31677805776 36957440072 55436160108 63355611552 73914880144 110872320216 147829760288 153769348871 221744640432 307538697742 443489280864 461308046613 615077395484 922616093226 1076385442097 1230154790968 1845232186452 2152770884194 2460309581936 3229156326291 3690464372904 4305541768388 4920619163872 6458312652582 7380928745808 8611083536776 12916625305164 14761857491616 17222167073552 25833250610328 34444334147104 51666501220656 103333002441312